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Finding the Fourth Proportional to 41,143.52, 61,715.28 and 9,978.76

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Solution

The fourth proportional to 41,143.52, 61,715.28 and 9,978.76 is: 14,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,143.52 : 61,715.28 = 9,978.76 : x
  2. Step 2: Convert to fraction form
    41,143.52/61,715.28 = 9,978.76/x
  3. Step 3: Cross multiply
    41,143.52x = 61,715.28 × 9,978.76
  4. Step 4: Simplify right side
    41,143.52x = 615,841,967.45
  5. Step 5: Solve for x
    x = 615,841,967.45/41,143.52
  6. Step 6: Final answer
    x = 14,968.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.